Determination of asymptotic solutions in the restricted, elliptical three-body problem

Details Determination of asymptotic solutions in the restricted, elliptical three-body problem Determination of asymptotic solutions in the restricted, elliptical three-body problem

Feb 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985azh....62..153l&link_type=abstract

(Astronomicheskii Zhurnal, vol. 62, Jan.-Feb. 1985, p. 153-159) Soviet Astronomy (ISSN 0038-5301), vol. 29, Jan.-Feb. 1985, p. 8

Statistics

Computation

Asymptotic Methods, Computational Astrophysics, Ellipticity, Libration, Three Body Problem, Approximation, Astronomical Coordinates, Constraints

Scientific paper

It is shown that for every collinear libration point there exist two planar one-dimensional families of asymptotic solutions. In the vicinity of a libration point these families completely fill some curvilinear sectors in the plane of special coordinates. With the transition to the restricted circular problem the families degenerate to four well-known trajectories.

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